Question

find the measures of all the angles of triangle ABC whose angles are in the following linear form angles A=2x+5 , B=3x+10,C= 3x+5

Answer 1

the angles are 2x+5,3x+10,3x+5

we know that,

the sum of all angle of a triangle is 180°

now,

2x+5+3x+10+3x+5=180°(ASP of triangle)

8x=180-5-10-5

8x=180-15-5

8x=180-20

x=20

now again,

2x+5=45°

3x+10=70°

3x+5=65°